Free Practice Question
PS · Problem Solving
sub-505
Absolute Values/Modules
Given that |a|/b = 2, which of the following statements must hold true?
Answer Choices
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B
Correct
D
E
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Explanation
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Official Explanation
Official
From the equation , we can simplify it to .
By the properties of absolute values, this implies that a can be either .
Regardless of whether or , squaring both sides leads us to the conclusion that , which simplifies to .
By the properties of absolute values, this implies that a can be either .
Regardless of whether or , squaring both sides leads us to the conclusion that , which simplifies to .
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Comments
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R
RITESHAug 8, 2024
thank you very much!
T
ThitipongFeb 24, 2024
thank you for sharing
What this question tests
What it tests
Your ability to solve absolute-value equations and inequalities by considering both cases.
Common trap
Dropping the absolute value bars entirely or missing that |x| = k has two solutions when k > 0.
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TopicGMAT Quantitative Reasoning
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Difficulty
sub-505
Type
PS
Category